Answer:
A
Step-by-step explanation:
Answer:
Below.
Step-by-step explanation:
If the sum of any 2 sides are less than or equal to the third side then there's no triangle
1. N0 because 4 + 5 < 10
2. YES
3. NO because 2 + 3 = 5.
The answer for that will be:
length of second base = 11 units
Here's how it was generated:
You have to assume first that the second base is x
This is how the mid-segment in a trapezoid is calculated:
mid-segment = (first base + second base) / 2
Let:
mid-segment = 19
first base =27
second base = x
Substitute and solve for x:
mid-segment = (first base + second base) / 2
19 = (27 + x) / 2
19 * 2 = 27 + x
38 =27 + x
Transpose the variable to the right and the constants to the left. Take note of changing signs:
x = 38 - 27
x = 11 units
If x=6 is the only intercept, it means that the quadratic is tangential to the x-axis, or equivalently x=6 is a root with multiplicity 2.
The discriminant is typically zero for multiplicity 2 in a quadratic.
It will be clear looking at the quadratic formula:
if D=b^2-4ac = discriminant of the quadratic, then
x1=(-b+sqrt(D))/2a or x2=(-b-sqrt(D))/2a
if x1=x2 (double root, or multiplicity 2) then clearly D has to be zero.
Answer:
0 = -6
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2(−2k+3)+4k=−2(6−3k)+2k
(−2)(−2k)+(−2)(3)+4k=(−2)(6)+(−2)(−3k)+2k(Distribute)
4k+−6+4k=−12+6k+2k
(4k+4k)+(−6)=(6k+2k)+(−12)(Combine Like Terms)
8k+−6=8k+−12
8k−6=8k−12
Step 2: Subtract 8k from both sides.
8k−6−8k=8k−12−8k
−6=−12
Step 3: Add 6 to both sides.
−6+6=−12+6
0=−6